Software Tools for Discovering Quantum Computing Applications (Differential Equations Focus)

A lot of industries rely on solving complex mathematical problems to improve their processes and design their products. Non-linear differential equations are often essential for making advancements. However, solving these equations with traditional computers is extremely challenging and resource intensive. Current computing methods struggle with these complex equations, leading to high energy use, long development times, and suboptimal design.
One promising avenue for solving these problems is quantum computing which might eventually be able to solve these complex math problems far more efficiently. The challenge is that the development of quantum algorithms and software to support this development is lacking. Solving non-linear differential equations. has received far less attention than applications like quantum simulation. This project aims to build software to develop quantum algorithms for non-linear differential equations. The outcome of this work will be the capability to assess the promise of quantum computing for differential equations solving.

Faculty Supervisor:

Nathan Wiebe;Artur Izmaylov

Student:

Partner:

Zapata Canada

Discipline:

Mathematics

Sector:

Professional, scientific and technical services

University:

University of Toronto

Program: